Citations

If you use lww-transport in your research, please cite both the software itself and the original physics papers that the implementation is based on.

Software citation (BibTeX):

@software{camposano2026lwwtransport,
  author    = {Camposano, Anthony Val},
  title     = {{lww-transport: A Python package for 1D Lattice
               Weyl-Wigner / Wigner-Poisson quantum transport simulations}},
  year      = {2026},
  version   = {0.1.0},
  license   = {MIT},
  url       = {https://github.com/antble/lww-usc},
}

Please also cite the underlying physics methodology (see references below): [BuotJensen1990] and [JensenBuot1991Method].

Core LWW/Wigner transport references

[Buot2009]

F. A. Buot, Nonequilibrium Quantum Transport Physics in Nanosystems: Foundation of Computational Nonequilibrium Physics in Nanoscience and Nanotechnology. World Scientific, 2009.

[BuotJensen1990]

F. A. Buot and K. L. Jensen, “Lattice Weyl-Wigner formulation of exact many-body quantum-transport theory and applications to novel solid-state quantum-based devices,” Physical Review B, vol. 42, no. 15, p. 9429, 1990.

[JensenBuot1991Method]

K. L. Jensen and F. A. Buot, “The methodology of simulating particle trajectories through tunneling structures using a Wigner distribution approach,” IEEE Transactions on Electron Devices, vol. 38, no. 10, pp. 2337-2347, 1991. DOI: https://doi.org/10.1109/16.88522

[JensenBuot1991PRL]

K. L. Jensen and F. A. Buot, “Numerical simulation of intrinsic bistability and high-frequency current oscillations in resonant tunneling structures,” Physical Review Letters, vol. 66, no. 8, p. 1078, 1991.

[Frensley1990]

W. R. Frensley, “Boundary conditions for open quantum systems driven far from equilibrium,” Reviews of Modern Physics, vol. 62, no. 3, p. 745, 1990. DOI: https://doi.org/10.1103/RevModPhys.62.745

[Jiang2011]

H. Jiang, W. Cai, and R. Tsu, “Accuracy of the Frensley inflow boundary condition for Wigner equations in simulating resonant tunneling diodes,” Journal of Computational Physics, vol. 230, no. 5, pp. 2031-2044, 2011.

[Barraud2009]

S. Barraud, “Phase-coherent quantum transport in silicon nanowires based on Wigner transport equation: Comparison with the nonequilibrium-Green-function formalism,” Journal of Applied Physics, vol. 106, no. 6, p. 063714, 2009.

[Taj2006]

D. Taj, L. Genovese, and F. Rossi, “Quantum-transport simulations with the Wigner-function formalism: Failure of conventional boundary-condition schemes,” EPL (Europhysics Letters), vol. 74, no. 6, p. 1060, 2006.

[KadanoffBaym1963]

L. P. Kadanoff and G. Baym, “Quantum statistical mechanics,” American Journal of Physics, vol. 31, no. 4, pp. 309-309, 1963.